The purpose of this task to help students think about an expression for a function as built up out of simple operations on the variable, and understand the domain in terms of values for which each operation is invalid (e.g., dividing by zero or taking the square root of a negative number).

One particular type of domino game, sometimes called the All Fives Domino game, uses multiples of five in order to score points. It can be the basis for a number of games designed to develop conceptual understanding of multiples of numbers through twelve and provide opportunities to reinforce learning objectives in a fun and competitive manner. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

Explore tunneling splitting in double well potentials. This classic problem describes many physical systems, including covalent bonds, Josephson junctions, and two-state systems such as spin 1/2 particles and ammonia molecules.

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

The aim of this course is to highlight some technical aspects of the classical tradition in architecture that have so far received only sporadic attention. It is well known that quantification has always been an essential component of classical design: proportional systems in particular have been keenly investigated. But the actual technical tools whereby quantitative precision was conceived, represented, transmitted, and implemented in pre-modern architecture remain mostly unexplored. By showing that a dialectical relationship between architectural theory and data-processing technologies was as crucial in the past as it is today, this course hopes to promote a more historically aware understanding of the current computer-induced transformations in architectural design.

This math problem demonstrates the concept of geometric progression, through an example of a million dollar contract between an employee and an employer. Application of the concept of geometric progression to social cause activism is addressed. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.

This problem involves fraction multiplication that can be solved with pictures or number lines.

This task builds on a fifth grade fraction multiplication task and uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem.

This task builds on a fifth grade fraction multiplication task and uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem.

Spreadsheets Across the Curriculum module. Students build a spreadsheet to explore the trade-offs between "bargain-priced" gas vs. the extra mileage needed to get it. A modeling problem.

This short video and interactive assessment activity is designed to give fifth graders an overview of speed based problems.

This short video and interactive assessment activity is designed to give fourth graders an overview of speed based problems.

Spreadsheets Across the Curriculum module/Geology of National Parks course. Students estimate the volume of sand in Hoosier Slide, a large dome-shaped dune quarried away in the 1920s from what is now Indiana Dunes National Lakeshore. They also estimate the number of boxcars to carry the sand, and the number of Ball jars produced from it.

This OER explores the basic operations of a Duochord. It contains both an activity as well as resources for further exploration. It is a product of the OU Academy of the Lynx, developed in conjunction with the Galileo's World Exhibition at the University of Oklahoma.

Biological systems (e.g. cells) can make stochastic transitions between phenotypes (e.g. states of relatively increased or decreased drug resistance). This means that an initially drug-sensitive population can generate relatively drug-resistant subpopulations. This video presents a metronomogram, which is a tool for understanding whether such stochastic transitions can provide an opportunity for therapeutic treatment. Citation: Liao D, Estevez-Salmeron L, and Tlsty TD (2012) "Conceptualizing a tool to optimize therapy based on dynamic heterogeneity," Phys. Biol. 9:065005.

Compiled to support a course on teaching math and science in Early Childhood Education. Chapters include: Early Learning; Math & Science Connections; Theory & Teacher Effectiveness; Special Needs; Standards & Assessment; Lesson Planning; Centers & Environment; Teaching Science Content; Teaching Math Content; and Hands-on Learning.

This joint position statement of the National Association for the Education of Young Children (NAEYC) and the National Council

of Teachers of Mathematics (NCTM) highlights a set of principles for effective early math instruction.

In this Cyberchase video segment, the CyberSquad figures out how to earn 100 snelfus in 11 days.

This is an activity about planetary sizes and distances. Learners will construct a scale model of the Earth, Earth’s Moon and Mars in relation to each other using balloons. They will use this model to predict distances and reflect on how scientists use models to construct explanations through the scientific process. The lesson models scientific inquiry using the 5E instructional model and includes teacher notesand vocabulary.